The graph shows the average annual fuel consumption of vehicles in the United States between 1970 and 1995. tf(t) gallons700600t yearssince 1970500102030 (a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes.f(t) gallonsf(t) gallons700700600600198219822000131990 199520001.5441990 1995161.5t years855t years19 185001500since 1970since 1970102030102030f(t) gallonsf(t) gallons7007004410600600-401982131982520002820001990 19955-3513t years1990 1995t years500since 1970500since 1970102030102030gallons per year1982f'(12)=gallons per yearf'(20)1990f'(25)gallons per year1995f'(30)gallons per year2000

The tangent lines for the years 1982, 1990, 1995 and 2000 are shown in below figure.

Answered: The graph shows the average annual fuel…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.2: Graphs Of Equations In Two Variables; Circles

Problem 111E

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